Readdressing the classic falling U-chain problem by a modular nonlinear FEM approach

Autor(es)

Matarazzo Orsino, Renato Maia ^[1] ; Pesce, Celso Pupo ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Dept Mech Engn, Offshore Mech Lab, Ave Prof Lucio Martins Rodrigues, Tv 4, 434, BR-05508020 Sao Paulo, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: ACTA MECHANICA; v. 229, n. 7, p. 3107-3122, JUL 2018.
• Citações Web of Science: 1

Resumo

This paper uses a classical one-dimensional single-DOF model of the falling U-chain as an analytical paradigm for the assessment of a recursive modular modeling methodology, in which constraints can be enforced a posteriori. A two-dimensional nonlinear FEM model for the falling of an inextensible folded string is derived, and a numerical simulation is compared with the adopted paradigm. The proposed model not only reproduces with great accuracy the results obtained from the analytical paradigm, but also shows interesting features of this strongly nonlinear problem that might not be revealed by classical single-DOF models. (AU)

• Processo FAPESP: 16/09730-0 - Metodologia modular para a modelagem matemática de sistemas dinâmicos estendida para sistemas a parâmetros distribuídos
• Beneficiário: Renato Maia Matarazzo Orsino
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado